ON ADS-MODULES WITH THE SIP

Mutlu F. T.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.41, sa.6, ss.1355-1363, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 6
  • Basım Tarihi: 2015
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1355-1363
  • Anahtar Kelimeler: Ads-modules, summand intersection property, extending modules, SUMMAND INTERSECTION PROPERTY, INJECTIVE MODULES, RINGS
  • Anadolu Üniversitesi Adresli: Evet

Özet

The class of ads modules with the SIP (briefly, SA-modules) is studied. Various conditions for a module to be SA-module are given. It is proved that for a quasi-continuous module M, M is a UC-module if and only if M is an SA-module. Also, it is proved that the direct sum of two SA-modules as R-modules is an SA-module when R is the sum of the annihilators of these modules.